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Finding the Fourth Proportional to 488.66, 673.87 and 322.68

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Solution

The fourth proportional to 488.66, 673.87 and 322.68 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.66 : 673.87 = 322.68 : x
  2. Step 2: Convert to fraction form
    488.66/673.87 = 322.68/x
  3. Step 3: Cross multiply
    488.66x = 673.87 × 322.68
  4. Step 4: Simplify right side
    488.66x = 217,442.76
  5. Step 5: Solve for x
    x = 217,442.76/488.66
  6. Step 6: Final answer
    x = 444.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.